Abstract
We study geometric phases that arise from (cyclic) transformations of the transverse spatial structure of paraxial optical modes. Our approach involves bosonic ladder operators that, in the spirit of the quantum-mechanical harmonic oscillator, generate sets of transverse optical modes. It applies to modes of all orders in a very natural way and provides a universal geometric interpretation of the phase shifts acquired by nonastigmatic modes under typical experimental conditions.
© 2010 Optical Society of America
Full Article | PDF ArticleMore Like This
Yan Yan, Lin Zhang, Jian Wang, Jeng-Yuan Yang, Irfan M. Fazal, Nisar Ahmed, Alan E. Willner, and Samuel J. Dolinar
Opt. Lett. 37(16) 3294-3296 (2012)
Hao Huang, Yongxiong Ren, Guodong Xie, Yan Yan, Yang Yue, Nisar Ahmed, Martin P. J. Lavery, Miles J. Padgett, Sam Dolinar, Moshe Tur, and Alan E. Willner
Opt. Lett. 39(6) 1689-1692 (2014)
M. J. Padgett and J. Courtial
Opt. Lett. 24(7) 430-432 (1999)